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when is x+y equal to sqrt(x^2+y^2)?

 Jul 16, 2014

Best Answer 

 #4
avatar+5478 
+23

x + y = sqrt(x^2+y^2)

x and y could be: 0 and any real number.

If x or y (let's say x) is 0, the equation would be:

0 + y = sqrt(0^2 + y^2)

Which simplifies to:

y = sqrt(y^2)

The sqrt and ^2 cancel out:

y = y

When you have an equation that simplifies to something equals itself, the solution would be all real numbers.

And Rosala, I hope you meant for Anonymous to graph the equation.

If you graph the equation on the calculator, it comes out as a straight line, with the y at 0. This shows that y  (or x) is 0 and x (or y) is all real numbers.

 Jul 17, 2014
 #1
avatar+11912 
+8

why dont u enter this in the on-site calculator and check for your answer!

 Jul 16, 2014
 #2
avatar
0

how do you enter it on the calculator?

 Jul 16, 2014
 #3
avatar+11912 
+3

just write sqrt and then the whole thing and press enter!

 Jul 16, 2014
 #4
avatar+5478 
+23
Best Answer

x + y = sqrt(x^2+y^2)

x and y could be: 0 and any real number.

If x or y (let's say x) is 0, the equation would be:

0 + y = sqrt(0^2 + y^2)

Which simplifies to:

y = sqrt(y^2)

The sqrt and ^2 cancel out:

y = y

When you have an equation that simplifies to something equals itself, the solution would be all real numbers.

And Rosala, I hope you meant for Anonymous to graph the equation.

If you graph the equation on the calculator, it comes out as a straight line, with the y at 0. This shows that y  (or x) is 0 and x (or y) is all real numbers.

kitty<3 Jul 17, 2014
 #5
avatar+11912 
+3

oh !im sorry kitty , i just thought that it might help!

sorry!

 Jul 17, 2014

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